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math.OC2024★ 4 cited
Sub-Lorentzian extremals defined by an antinorm
A. V. Podobryaev
We consider a left-invariant (sub-)Lorentzian structure on a Lie group. We assume that this structure is defined by a closed convex salient cone in the corresponding Lie algebra an…
math.OC2022★ 2 cited
Attainable set for rank 3 step 2 free Carnot group with positive controls
A. V. Podobryaev
We find the attainable set for a control system on the free Carnot group of rank and step with positive controls. This kind of control systems is connected with the theory…